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2138115 = 35722909
BaseRepresentation
bin1000001010000000000011
311000121221110
420022000003
51021404430
6113454403
724113400
oct10120003
94017843
102138115
111230441
12871403
1359b275
143d92a7
152c37b0
hex20a003

2138115 has 24 divisors (see below), whose sum is σ = 3980880. Its totient is φ = 977088.

The previous prime is 2138093. The next prime is 2138137. The reversal of 2138115 is 5118312.

It is an interprime number because it is at equal distance from previous prime (2138093) and next prime (2138137).

It is not a de Polignac number, because 2138115 - 27 = 2137987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

2138115 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2138091 and 2138100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720 + ... + 2189.

It is an arithmetic number, because the mean of its divisors is an integer number (165870).

22138115 is an apocalyptic number.

2138115 is a deficient number, since it is larger than the sum of its proper divisors (1842765).

2138115 is a wasteful number, since it uses less digits than its factorization.

2138115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2924 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 2138115 is about 1462.2294621570. The cubic root of 2138115 is about 128.8280263523.

The spelling of 2138115 in words is "two million, one hundred thirty-eight thousand, one hundred fifteen".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 2909 8727 14545 20363 43635 61089 101815 142541 305445 427623 712705 2138115